Question

Which of the following best defines 2 to the power of 2 over 3?

A:Cube root of 4

B:Square root of 4

C:Cube root of 2

D:Square root of 2

Answer 1

It is A) the cube root of 4. If 1/3 is in the power, that means that it can be turned into a cube root. Since it is 2/3 that is in the power, you can use that 2 at the top to be a square. Therefore you would get the cube root of 2 squared, or the cube root of 4

Answer 2

So the expression written numerically is
`2^(2)/(3)`.

Remember that the rule from fractional exponents to radicals is
`x^(m)/(n)=\sqrt[n]{x^m}` . In this case, the radical form of our equation would be:
`\sqrt[3]{2^2}=\sqrt[3]{4}` , or A.